1. The data in the following tables were generated using the following functions. Use the divided difference method to determine the Hermite polynomial approximation for the given value of x to approximate f (x), and calculate the absolute error. f (x) = x² cos x- 3x; approximate f (0.18). f(x) f'(x) 0.1 -0.56079734 -0.29004996 -2.8019975 0.2 -2.6159201 0.3 -0.81401972 -2.9734038
1. The data in the following tables were generated using the following functions. Use the divided difference method to determine the Hermite polynomial approximation for the given value of x to approximate f (x), and calculate the absolute error. f (x) = x² cos x- 3x; approximate f (0.18). f(x) f'(x) 0.1 -0.56079734 -0.29004996 -2.8019975 0.2 -2.6159201 0.3 -0.81401972 -2.9734038
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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